Least Common Multiple of 511 and 513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 511 and 513 the smallest integer that is 262143 that is divisible by both numbers.

Least Common Multiple (LCM) of 511 and 513 is 262143.

LCM(511,513) = 262143

LCM of 511 and 513

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 511 and 513

LCM of 511 and 513 is 262143

Least common multiple can be found by multiplying the highest exponent prime factors of 511 and 513. First we will calculate the prime factors of 511 and 513.

Prime Factorization of 511


7 511
73 73
1

Prime factors of 511 are 7,73. Prime factorization of 511 in exponential form is:

511 = 71×731

Prime Factorization of 513


3 513
3 171
3 57
19 19
1

Prime factors of 513 are 3,19. Prime factorization of 513 in exponential form is:

513 = 33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 511 and 513.

LCM(511,513) = 33×71×191×731
LCM(511,513) = 262143

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Least Common Multiple of 511 and 513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 511 and 513, than apply into the LCM equation.

GCF(511,513) = 1
LCM(511,513) = ( 511 × 513) / 1
LCM(511,513) = 262143 / 1
LCM(511,513) = 262143

Properties of LCM 511 and 513

(i) The LCM of 513 and 511 is associative

LCM of 511 and 513 = LCM of 513 and 511

Related Least Common Multiples of 511

Related Least Common Multiples of 513

Frequently Asked Questions on LCM of 511 and 513

1. What is the LCM of 511 and 513?

Answer: LCM of 511 and 513 is 262143.

2. What are the Factors of 511?

Answer: Factors of 511 are 1, 7, 73, 511. There are 4 integers that are factors of 511. The greatest factor of 511 is 511.

3. What are the Factors of 513?

Answer: Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. There are 8 integers that are factors of 513. The greatest factor of 513 is 513.

4. How to Find the LCM of 511 and 513?

Answer:

Least Common Multiple of 511 and 513 = 262143

Step 1: Find the prime factorization of 511

511 = 7 x 73

Step 2: Find the prime factorization of 513

513 = 3 x 3 x 3 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 262143 = 3 x 3 x 3 x 7 x 19 x 73

Step 4: Therefore, the least common multiple of 511 and 513 is 262143.